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The reductive perturbation method is employed to describe the behaviour of ion-acoustic waves for plasmas in the absence of magnetic field, leading to a type of modified Kadomtsev-Petviashvili equation. The stability of a special type of solitary wave solutions for the modified Kadomtsev-Petviashvili equation is investigated with a finite difference scheme. The numerical results show that this solitary wave is unstable under two particular initial perturbations.
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Keywords:
- ion-acoustic solitary waves /
- reductive perturbation method /
- modified Kadomtsev-Petviashvili equation /
- stability
[1] Rao N N, Shukla P K, Yu M Y 1990 Planet. Space Sci. 38 543
[2] Shukla P K, Silin V P 1992 Phys. Scr. 45 508
[3] Wei L, Wang Y N 2007 Phys. Rev. B 75 193407
[4] He B G, Xu C Z, Zhang J F 2006 Acta Phys. Sin. 55 511 (in Chinese) [何宝钢, 徐昌智, 张解放 2006 物理学报 55 511]
[5] Hou L J, Wang Y N, Miskovic Z L 2004 Phys. Rev. E 70 056406
[6] Ma S H, Wu X H, Fang J P, Zheng C L 2008 Acta Phys. Sin. 57 11 (in Chinese) [马松华, 吴小红, 方建平, 郑春龙 2008 物理学报 57 11]
[7] Xie B S, Du S C 2006 Phys. Plasmas 13 074504
[8] Xie B S, Li H B, Hu B B 2005 Eur. Phys. Lett. 69 358
[9] Xie B S, Wang N C 2002 Phys. Scr. 65 444
[10] Xie B S, Yu M Y 2000 Phys. Plasmas 7 3137
[11] Xie B S, He K F, Huang Z Q, 2000 Chin. Phys. Lett. 17 815
[12] Xie B S, He K F, Huang Z Q 1999 Phys. Plasmas 6 3808
[13] Huang G X, Velarde M G, Makrov V A 2001 Phys. Rev. A 64 013617
[14] Duan W S 2004 Chin. Phys. 13 598
[15] Duan W S 2004 Chaos, Solitons and Fractals 21 319
[16] Mao J J, Yang J R 2007 Acta Phys. Sin. 56 5049 (in Chinese) [毛杰健, 杨建荣 2007 物理学报 56 5049]
[17] Lu D C, Hong B J, Tian L X 2006 Acta Phys. Sin. 55 5617 (in Chinese) [卢殿臣, 洪宝剑, 田立新 2006 物理学报 55 5617]
[18] Han J N, Li S C, Yang X X, Duan W S 2008 Eur. Phys. J. D 47 197
[19] Mushtaq A, Khan S A 2007 Phys. Plasmas 14 052307
[20] Xiao D L, Ma J X, Li Y F, Xia Y H, Yu M Y 2006 Phys. Plasmas 13 052308
[21] Goerts C K 1998 Rev. Geophys. 27 271
[22] Havnes O, Melandse F, La Hoz C, Aslaksen T K, Hartquist T 1992 Phys. Scr. 45 433
[23] Benkadda S, Tsytovich V N, Verga A 1995 Comments Plasmas Phys. Cont. Fus. 16 321
[24] Verheest F 1996 Space Sci. Rev. 77 267
[25] Shukla P K, Silin V P, Yu My 1992 Phys. Scr. 45 508
[26] Barkar A, Meclino R L, D'Angelo N 1995 Phys. Plasma 2 3563
[27] Morfill G E, Thomos H 1996 J. Vac. Sci. Technol. A 14 490
[28] Merlino R L, Barkan A, Thompson C, D'Angelo N 1990 Plant Space Sci. 38 1143
[29] Duan W S 2001 Phys. Plasmas 8 3583
[30] Hong X R, Duan W S, Song J A, Shi Y R, Lü K P 2003 Acta Phys. Sin. 52 2671 (in Chinese) [洪学仁, 段文山, 孙建安, 石玉仁, 吕克璞 2003 物理学报 52 2671]
[31] Shi Y R, Zhang J, Yang H J, Duan W S 2011 Acta Phys. Sin. 60 020402 (in Chinese) [石玉仁, 张娟, 杨红娟, 段文山 2011 物理学报 60 020402]
[32] Shi Y R, Zhang J, Yang H J, Duan W S, Karl E Lonngren 2011 Chin. Phys. B 20 015205
[33] Das J, Bandyopadhyay A, Das K P 2007 Phys. Plasmas 14 092403
[34] Singh D K, Malik H K 2007 Plasma Phys. Contr. F 49 1551
[35] Han J N, Wang C L, Li S C, Duan W S 2008 Acta Phys. Sin. 57 6068 (in Chinese) [韩久宁, 王苍龙, 栗生长, 段文山 2008 物理学报 57 6068]
[36] Han J N, Yang X X, Tian D X, Duan W S 2008 Phys. Lett. A 372 4817
[37] Tian B, Gao Y T 2007 Phys. Lett. A 362 283
[38] Duan W S, Hong X R 2003 Acta Phys. Sin. 52 1337 (in Chinese) [段文山, 洪学仁 2003 物理学报 52 1337]
[39] Ikezi H, Taylor R J, Baker D R 1970 Phys. Rev. Lett. 25 11
[40] Schamel H 1973 Phys. Plasmas 9 377
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[1] Rao N N, Shukla P K, Yu M Y 1990 Planet. Space Sci. 38 543
[2] Shukla P K, Silin V P 1992 Phys. Scr. 45 508
[3] Wei L, Wang Y N 2007 Phys. Rev. B 75 193407
[4] He B G, Xu C Z, Zhang J F 2006 Acta Phys. Sin. 55 511 (in Chinese) [何宝钢, 徐昌智, 张解放 2006 物理学报 55 511]
[5] Hou L J, Wang Y N, Miskovic Z L 2004 Phys. Rev. E 70 056406
[6] Ma S H, Wu X H, Fang J P, Zheng C L 2008 Acta Phys. Sin. 57 11 (in Chinese) [马松华, 吴小红, 方建平, 郑春龙 2008 物理学报 57 11]
[7] Xie B S, Du S C 2006 Phys. Plasmas 13 074504
[8] Xie B S, Li H B, Hu B B 2005 Eur. Phys. Lett. 69 358
[9] Xie B S, Wang N C 2002 Phys. Scr. 65 444
[10] Xie B S, Yu M Y 2000 Phys. Plasmas 7 3137
[11] Xie B S, He K F, Huang Z Q, 2000 Chin. Phys. Lett. 17 815
[12] Xie B S, He K F, Huang Z Q 1999 Phys. Plasmas 6 3808
[13] Huang G X, Velarde M G, Makrov V A 2001 Phys. Rev. A 64 013617
[14] Duan W S 2004 Chin. Phys. 13 598
[15] Duan W S 2004 Chaos, Solitons and Fractals 21 319
[16] Mao J J, Yang J R 2007 Acta Phys. Sin. 56 5049 (in Chinese) [毛杰健, 杨建荣 2007 物理学报 56 5049]
[17] Lu D C, Hong B J, Tian L X 2006 Acta Phys. Sin. 55 5617 (in Chinese) [卢殿臣, 洪宝剑, 田立新 2006 物理学报 55 5617]
[18] Han J N, Li S C, Yang X X, Duan W S 2008 Eur. Phys. J. D 47 197
[19] Mushtaq A, Khan S A 2007 Phys. Plasmas 14 052307
[20] Xiao D L, Ma J X, Li Y F, Xia Y H, Yu M Y 2006 Phys. Plasmas 13 052308
[21] Goerts C K 1998 Rev. Geophys. 27 271
[22] Havnes O, Melandse F, La Hoz C, Aslaksen T K, Hartquist T 1992 Phys. Scr. 45 433
[23] Benkadda S, Tsytovich V N, Verga A 1995 Comments Plasmas Phys. Cont. Fus. 16 321
[24] Verheest F 1996 Space Sci. Rev. 77 267
[25] Shukla P K, Silin V P, Yu My 1992 Phys. Scr. 45 508
[26] Barkar A, Meclino R L, D'Angelo N 1995 Phys. Plasma 2 3563
[27] Morfill G E, Thomos H 1996 J. Vac. Sci. Technol. A 14 490
[28] Merlino R L, Barkan A, Thompson C, D'Angelo N 1990 Plant Space Sci. 38 1143
[29] Duan W S 2001 Phys. Plasmas 8 3583
[30] Hong X R, Duan W S, Song J A, Shi Y R, Lü K P 2003 Acta Phys. Sin. 52 2671 (in Chinese) [洪学仁, 段文山, 孙建安, 石玉仁, 吕克璞 2003 物理学报 52 2671]
[31] Shi Y R, Zhang J, Yang H J, Duan W S 2011 Acta Phys. Sin. 60 020402 (in Chinese) [石玉仁, 张娟, 杨红娟, 段文山 2011 物理学报 60 020402]
[32] Shi Y R, Zhang J, Yang H J, Duan W S, Karl E Lonngren 2011 Chin. Phys. B 20 015205
[33] Das J, Bandyopadhyay A, Das K P 2007 Phys. Plasmas 14 092403
[34] Singh D K, Malik H K 2007 Plasma Phys. Contr. F 49 1551
[35] Han J N, Wang C L, Li S C, Duan W S 2008 Acta Phys. Sin. 57 6068 (in Chinese) [韩久宁, 王苍龙, 栗生长, 段文山 2008 物理学报 57 6068]
[36] Han J N, Yang X X, Tian D X, Duan W S 2008 Phys. Lett. A 372 4817
[37] Tian B, Gao Y T 2007 Phys. Lett. A 362 283
[38] Duan W S, Hong X R 2003 Acta Phys. Sin. 52 1337 (in Chinese) [段文山, 洪学仁 2003 物理学报 52 1337]
[39] Ikezi H, Taylor R J, Baker D R 1970 Phys. Rev. Lett. 25 11
[40] Schamel H 1973 Phys. Plasmas 9 377
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